Question

two complementary angles are given by 2x,3x-20. find them​

Answer 1

the angles are 44 and 46

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Answer 2

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The angles are 44° and 46°.

$\mathfrak{\large{\underline{\underline{Explanation :- }}}}$

Given :

The Complementary angles = 2x and 3x - 20

To find :

The angles

Solution :

Complementary angles are the angles are the angles which sum up and make 90°.

★ Equation :-

$\boxed{\sf{2x + (3x - 20) = 90}}$

$\sf{\implies} \: 2x + 3x - 20 = 90$

$\sf{\implies} \: 5x - 20 = 90$

$\sf{\implies} \: 5x = 90 + 20$

$\sf{\implies} \: x = \dfrac{110}{5}$

$\sf{\implies} \: x = 22$

$\rule{300}{1}$

Value of 2x

$\sf{\implies} \: 22 \times 2$

$\sf{\implies} \: 44$

Value of 3x - 20

$\sf{\implies} \: (22 \times 3) - 20$

$\sf{\implies} \: 66 - 20$

$\sf{\implies} \: 46$

$\therefore$ The angles are 44° and 46°.

$\rule{300}{1}$

$\mathfrak{\large{\underline{\underline{Verification :-}}}}$

$\sf{\implies} \: 46 + 44 = 90$

$\sf{\implies} \: 90 = 90$

$\therefore$ The angles are 44° and 46°.